On an extension of KU-algebras

Koam, Ali N. A.; Haider, Azeem; Ansari, Moin A.

doi:10.3934/math.2021077

Cited by 5 publications

(1 citation statement)

References 10 publications

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“…Then, the concept of a hyper structure KU-algebra was introduced and some related results were provided by Mostafa et al [21]. Subsequently, Koam et al [16] defined an extension of KU-algebras and called it an extended KU-algebra; they discussed the relations between extended KU-algebras and KU-algebras. In 2023, Manivasan and Kalidass [17] introduced BMBJ-neutrosophic sets and subalgebras as a generalization of neutrosophic sets, and examined their applications and related features to KU-algebras.…”

Section: Introductionmentioning

confidence: 99%

Pythagorean fuzzy KU-subalgebras of KU-algebras

Meesri,

Jodnok,

Nakkhasen

2024

J. Math. Computer Sci.

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The concept of Pythagorean fuzzy sets was introduced by Yager in 2013. It is a generalization of the concepts of fuzzy sets and intuitionistic fuzzy sets. The aim of this study was to apply the concept of Pythagorean fuzzy sets to clarify in KUalgebras. The notion of Pythagorean fuzzy KU-subalgebras of KU-algebras is introduced. Then, we give some fundamental properties of Pythagorean fuzzy KU-subalgebras in KU-algebras. Finally, we investigate the relationships between the image and the preimage of Pythagorean fuzzy KU-subalgebras under a homomorphism of KU-algebras.

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Section: Introductionmentioning

confidence: 99%